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Holographic thermal DC response in the hydrodynamic limit

Banks, Elliot; Donos, Aristomenis; Gauntlett, Jerome P; Griffin, Tom; Melgar, Luis

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Authors

Elliot Banks

Jerome P Gauntlett

Tom Griffin

Luis Melgar



Abstract

We consider black hole solutions of Einstein gravity that describe deformations of CFTs at finite temperature in which spatial translations have been broken explicitly. We focus on deformations that are periodic in the non-compact spatial directions, which effectively corresponds to considering the CFT on a spatial torus with a non-trivial metric. We apply a DC thermal gradient and show that in a hydrodynamic limit the linearised, local thermal currents can be determined by solving linearised, forced Navier–Stokes equations for an incompressible fluid on the torus. We also show how sub-leading corrections to the thermal current can be calculated as well as showing how the full stress tensor response that is generated by the DC source can be obtained. We also compare our results with the fluid-gravity approach.

Citation

Banks, E., Donos, A., Gauntlett, J. P., Griffin, T., & Melgar, L. (2017). Holographic thermal DC response in the hydrodynamic limit. Classical and Quantum Gravity, 34(4), Article 045001. https://doi.org/10.1088/1361-6382/aa51df

Journal Article Type Article
Acceptance Date Dec 6, 2016
Online Publication Date Jan 17, 2017
Publication Date Jan 17, 2017
Deposit Date Jul 5, 2017
Publicly Available Date Mar 28, 2024
Journal Classical and Quantum Gravity
Print ISSN 0264-9381
Electronic ISSN 1361-6382
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 34
Issue 4
Article Number 045001
DOI https://doi.org/10.1088/1361-6382/aa51df
Related Public URLs http://arxiv.org/pdf/1609.08912.pdf

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Accepted Journal Article (501 Kb)
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Copyright Statement
This is an author-created, un-copyedited version of an article published in Classical and quantum gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/1361-6382/aa51df





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